Results 51 to 60 of about 2,041 (188)

B\"acklund Transformations for First and Second Painlev\'e Hierarchies [PDF]

, 2009
We give B\"acklund transformations for first and second Painlev\'e hierarchies. These B\"acklund transformations are generalization of known B\"acklund transformations of the first and second Painlev\'e equations and they relate the considered ...
Sakka, Ayman Hashem
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Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation

Results in Physics, 2023
We investigate a generalized scale-invariant analogue of the Korteweg–de Vries (KdV) equation, establishing a connection with the recently discovered short-wave intermediate dispersive variable (SIdV) equation.
Sayed Saifullah, M.M. Alqarni, Shabir Ahmad, Dumitru Baleanu, Meraj Ali Khan, Emad E. Mahmoud   +5 more
doaj   +1 more source

Dynamics of Nonlinear Optics with Different Analytical Approaches

Fractal and Fractional, 2023
In this article, we investigate novel optical solitons solutions for the Lakshmanan–Porsezian–Daniel (LPD) equation, along with group velocity dispersion and spatio-temporal dispersion, via three altered analytical techniques.
Naeem Ullah, Muhammad Imran Asjad, Musawa Yahya Almusawa, Sayed M. Eldin   +3 more
doaj   +1 more source

A KdV-like advection-dispersion equation with some remarkable properties [PDF]

, 2012
We discuss a new non-linear PDE, u_t + (2 u_xx/u) u_x = epsilon u_xxx, invariant under scaling of dependent variable and referred to here as SIdV. It is one of the simplest such translation and space-time reflection-symmetric first order advection ...
Abhijit Sen, Anantanarayanan Thyagaraja, Benney, Dilip P. Ahalpara, Govind S. Krishnaswami, Korteweg, Kudryashov, Miura, Randrt, Ryabov, Thyagaraja, Washimi, Yomosa, Zabusky   +13 more
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Exact solutions of the generalized $K(m,m)$ equations

, 2011
Family of equations, which is the generalization of the $K(m,m)$ equation, is considered.
Biswas, Biswas, Bruzon, Bruzon, Fu, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Lu, Nikolay A. Kudryashov, Odibat, Qin, Rosenau, Rosenau, Rosenau, Rosenau, Svetlana G. Prilipko, Tian, Wang, Xu, Zhu, Zhu   +30 more
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Solitary Wave Solutions of the Generalized (3+1)-Dimensional Shallow Water-Like Equation by using modified Kudryashov method

Adıyaman University Journal of Science, 2021
In this study, the generalized (3+1)-dimensional Shallow Water-Like (SWL) equation, which is one of the evolution equations, is taken into consideration. With the help of this evolution equation discussed, the modified Kudryashov method, traveling wave solutions are successfully obtained.
openaire   +3 more sources

New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques

Journal of Ocean Engineering and Science, 2023
The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques. The adopted methods are generalized Kudryashov method (GKM), exponential rational function method (ERFM), and ...
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Meromorphic exact solutions of the generalized Bretherton equation

, 2011
The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented.
Abramowitz, Biswas, Demina, Demina, Dmitry I. Sinelshchikov, Eremenko, Hone, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Maria V. Demina, Nikolai A. Kudryashov, Parkes, Parkes, Vernov, Vitanov   +20 more
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MacWilliams Identities for Terminated Convolutional Codes [PDF]

, 2010
Shearer and McEliece [1977] showed that there is no MacWilliams identity for the free distance spectra of orthogonal linear convolutional codes. We show that on the other hand there does exist a MacWilliams identity between the generating functions of ...
Forney Jr, G. David
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Relations for zeros of special polynomials associated to the Painleve equations

, 2006
A method for finding relations for the roots of polynomials is presented. Our approach allows us to get a number of relations for the zeros of the classical polynomials and for the roots of special polynomials associated with rational solutions of the ...
Ablowitz, Ahmed, Amdeberhan, Bassom, Calogero, Clarkson, Clarkson, Clarkson, Clarkson, Clarkson, Conte, Cosgrove, Demina, Demina, Hone, Iwasaki, Jrad, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Maria V. Demina, Mugan, Nikolai A. Kudryashov, Okamoto, Pickering, Stieltjes, Stieltjes, Szego, Umemura, Veselov, Vorob'ev, Yablonskii   +36 more
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